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3 years ago

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What property would justify the following statement? If a = b and b = c, then a = c. Addition Property Reflexive Property Subtra

ction Property Transitive Property

1 answer:

romanna [79]3 years ago

6 0

Answer:

It would be the transitive property! If you look up "If a = b, and b = c, then a = c" you'd see the transitive property. I hope this helps!

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g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate

bixtya [17]

Answer:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.85)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We want to find the following probability:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

7 0

3 years ago

What is the solution of 5x-1 >O?<br> O x5-8 or x><br> © xx-8 or x<br> o -85 x < 1/3<br> -8

ElenaW [278]

Answer:

x >1/5

Step-by-step explanation:

5x-1 >0

Add 1 to each side

5x-1+1 >0+1

5x >1

Divide each side by x

5x/5 >1/5

x >1/5

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3 years ago

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r-ruslan [8.4K]

Answer:

230

Step-by-step explanation:

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3 years ago

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Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)= $\frac{1}{sin(-112^{\circ})}$

= $\frac{1}{-sin(112^{\circ})}$

= $\frac{1}{-sin(180^{\circ}-68^{\circ})}$ (since 112=180-68)

= $\frac{1}{-sin(68^{\circ})}$ (since sin(180-x)=sinx)

= $\frac{-1}{sin(68^{\circ})}$ (since $\frac{a}{-b}= \frac{-a}{b}$ )

=-cosec(68°)

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W is 80%of y. How many singers were there

sergey [27]

Where did you get the singers from? And what does 80% of y have to do with singers?

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